Equidistribution of points via energy

Igor E. Pritsker Department of Mathematics, Oklahoma State University

Functional Analysis Mathematical Physics mathscidoc:1701.12015

Arkiv for Matematik, 49, (1), 149-173, 2009.5
We study the asymptotic equidistribution of points with discrete energy close to Robin’s constant of a compact set in the plane. Our main tools are the energy estimates from potential theory. We also consider the quantitative aspects of this equidistribution. Applications include estimates of growth for the Fekete and Leja polynomials associated with large classes of compact sets, convergence rates of the discrete energy approximations to Robin’s constant, and problems on the means of zeros of polynomials with integer coefficients.
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@inproceedings{igor2009equidistribution,
  title={Equidistribution of points via energy},
  author={Igor E. Pritsker},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203629609419996},
  booktitle={Arkiv for Matematik},
  volume={49},
  number={1},
  pages={149-173},
  year={2009},
}
Igor E. Pritsker. Equidistribution of points via energy. 2009. Vol. 49. In Arkiv for Matematik. pp.149-173. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203629609419996.
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